Discrete Mathematics and Probability Theory

CS70 at UC Berkeley, Fall 2026

Josh Hug, Manuel Sabin

Lecture: TuTh 3:30pm - 5:00pm, Li Ka Shing 245
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Week Date Lecture Resources Notes Discussion Homework
0
Thu
8/27

Direct Proofs

lecture
full Note 0 Note 1
1
Tue
9/1

Propositional Logic & Proof Techniques

lecture
Note 2

Thu
9/3

Proof Techniques II

lecture
Note 3
Fri
9/4

Quiz 0: Direct Proofs

2
Tue
9/8

Induction



Thu
9/10

Modular Arithmetic

Fri
9/11

Quiz 1: Propositional Logic, Proof Techniques

3
Tue
9/15

Euclid, FLT, CRT



Thu
9/17

RSA

Fri
9/18

Quiz 2: Induction, Modular Arithmetic

4
Tue
9/22

Polynomials



Thu
9/24

Secret Sharing & Error-Correcting Codes

Fri
9/25

Quiz 3: CRT, RSA

5
Tue
9/29

Graphs



Thu
10/1

Graphs II

Fri
10/2

Quiz 4: Polynomials, Secret Sharing & ECCs

6
Tue
10/6

Stable Matching



Thu
10/8

Countability

Fri
10/9

Quiz 5: Graphs, Graph Induction

7
Tue
10/13

Computability


Thu
10/15

No lecture (midterm prep)

Fri
10/16

Midterm (7:00 pm - 9:00 pm)

8
Tue
10/20

Counting



Thu
10/22

Probability Foundations

Fri
10/23

Quiz 6: Countability, Computability

9
Tue
10/27

Combinatorial Proofs



Thu
10/29

Conditional Probability & Bayes

Fri
10/30

Quiz 7: Counting, Probability Foundations

10
Tue
11/3

Independence & Combination of Events



Thu
11/5

Random Variables & Discrete Distributions

Fri
11/6

Quiz 8: Combinatorial Proofs, Conditional Probability & Bayes

11
Tue
11/10

Expectations & Linearity


Wed
11/11

Veterans Day

Thu
11/12

Joint Distributions & Independence of RVs

Fri
11/13

Quiz 9: Independence & Combination of Events, Random Variables & Discrete Distributions

12
Tue
11/17

Variance & Covariance



Thu
11/19

Concentration Inequalities

Fri
11/20

Quiz 10: Expectations & Linearity, Joint Distributions & Independence of RVs

13
Tue
11/24

Continuous Probability & Distributions


Wed
11/25

Non-Instructional Day

Thu
11/26

Thanksgiving Holiday

Fri
11/27

Thanksgiving Holiday

14
Tue
12/1

Gaussian Distribution & Central Limit Theorem



Thu
12/3

Markov Chains & Conditional Expectation

Fri
12/4

Quiz 11: Variance & Covariance, Concentration Inequalities, Continuous Probability & Distributions

15
Tue
12/8

RRR Week

Thu
12/10

RRR Week

16
Fri
12/18

Final Exam (7:00 pm - 10:00 pm)